
where \(Z(\rho )\)  is known as compressibility factor of the EOS. The classic Henderson relation [1]} for \(Z(\rho )\)  for mono-disperse elastic hard sphere gas in two dimensions is given by
\(Z(\rho )=\frac{128+\pi ^2\rho ^2D^4}{8(4-\pi \rho D^2)^2}, \) 
